a. Express the perimeter of the rectangle as a function of x b. Express the area of the rectangle as a function of X

a. Express the perimeter of the rectangle as a function of x b. Express the area of the rectangle as a function of X

The manager of a plant has been instructed to hire and train additional employees to manufacture a new product. She must hire a sufficient number of new employees so that within 30 days they will...

You and a friend are racing motorcycles. You take off south going 3 m/s, then 2 seconds later your friend goes west going 4 m/s. Find a formula for D(t), the distance in meters between you and your...

If a1+a2+a3+...+a80=2012 and the sequence has a common difference of 5, what is the sum of a2+a4+a6+...+a80? I cannot figure out how to do this! Any help...

I am not sure how to do this. So far I did Cos(x^(1/2)^3 So I did the chain rule to make Cos(u) where u = x^(3/2) Then I got -Sin(sqrtx)^3*(3/2)x^(1/2) Which then simplifies to (-3Sin(sqrtx)(sqrx))/2 What...

A 5m ladder leans against a wall . The bottom of the ladder is 1.5m from the wall at time t=0 and slides away from the wall at a rate pf 0.8m/s. Find the velocity of the top of the ladder at time...

I need to know how to double it and triple it

How fast is the length of his shadow on the building changing when he is 14 m from the building? Related Rates of AP Calculus!!! Please help!!!

the rectangle a represents a house positioned 100 feet from a road and r = 22 feet from the boundary line between two properties. rectangle b represents a second house 130 feet from the road and s...

Find the derivative

for what values of x does the graph f(x)=x+2sinx have a horizontal tangent

If the number of items sold dailey is represented by x, determine: a) The profit function b) The breakeven sales level c) The sales level generating a daily profit of...

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight...

The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. 1) Use differentials to estimate the maximum error in the calculated area of the...

I believe it is because there are no x factors in the numerator but unsure.

Hi, I just need to know if my answer is correct. Its asking to find the equation of the tangent line for : x2ey +yex =4 at (2,0) Answer: y=-x/2 +1

y= 4x-x^2-3lnx f'(x)= 4-2x-(3/x) My book is saying that its always decreasing, but when i look at the behavior before 0 , its negative and then after 0 its...

For reasons too complicated to explain, I need to create a rectangular orchid garden with an area of exactly 169 sq. ft. abutting my house so that the house itself forms the northern boundary. The...

need help working this out

so I am asked to maximize l*w*h = 2w^2*h l*w +2w*h+2lh=600 I solved for h in terms of w 2w*w+2wh+2*2wh=600 2wh+4wh=600-2w^2 h(6w)=600-2w^2 h=(600-2w^2)/(6w) I...

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